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381204

Second-order duality for invex composite optimization

Article

Last updated: 31 Dec 2024

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Abstract

The second-order duality results for the invex composite optimization problem are studied. Its objective function is a composition of nonfinite valued differentiable invex and a vector valued functions. Several duality results are also discussed for both constrained and unconstrained
optimization problems. Examples and counterexamples are illustrated to justify the present work.

DOI

10.1016/j.joems.2014.02.005

Keywords

Invex composite function, Second-order duality, Mangasarian and Mond– Weir type duality, Weak duality, Strong duality, Converse duality

Authors

First Name

Saroj Kumar

Last Name

Padhan

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Affiliation

Department of Mathematics, Veer Surendra Sai University of Technology, Burla 768018, India

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First Name

Chandal

Last Name

Nahak

MiddleName

-

Affiliation

Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India

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City

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Orcid

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First Name

Shahid

Last Name

Qaisar

MiddleName

-

Affiliation

Department of Mathematics, Islamia University, Bahawalpur, Pakistan

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Volume

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-23

Publish Date

2015-04-01

Page Start

149

Page End

154

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_381204.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381204

Order

381,204

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Second-order duality for invex composite optimization

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Type

Article

Created At

21 Dec 2024